TSTP Solution File: ROB013-1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ROB013-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Mon Jul 18 20:49:28 EDT 2022
% Result : Unsatisfiable 0.44s 1.08s
% Output : Refutation 0.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ROB013-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n022.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Thu Jun 9 13:39:19 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.44/1.08 *** allocated 10000 integers for termspace/termends
% 0.44/1.08 *** allocated 10000 integers for clauses
% 0.44/1.08 *** allocated 10000 integers for justifications
% 0.44/1.08 Bliksem 1.12
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 Automatic Strategy Selection
% 0.44/1.08
% 0.44/1.08 Clauses:
% 0.44/1.08 [
% 0.44/1.08 [ =( add( X, Y ), add( Y, X ) ) ],
% 0.44/1.08 [ =( add( add( X, Y ), Z ), add( X, add( Y, Z ) ) ) ],
% 0.44/1.08 [ =( negate( add( negate( add( X, Y ) ), negate( add( X, negate( Y ) ) )
% 0.44/1.08 ) ), X ) ],
% 0.44/1.08 [ =( negate( add( a, b ) ), c ) ],
% 0.44/1.08 [ ~( =( negate( add( c, negate( add( negate( b ), a ) ) ) ), a ) ) ]
% 0.44/1.08 ] .
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 percentage equality = 1.000000, percentage horn = 1.000000
% 0.44/1.08 This is a pure equality problem
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 Options Used:
% 0.44/1.08
% 0.44/1.08 useres = 1
% 0.44/1.08 useparamod = 1
% 0.44/1.08 useeqrefl = 1
% 0.44/1.08 useeqfact = 1
% 0.44/1.08 usefactor = 1
% 0.44/1.08 usesimpsplitting = 0
% 0.44/1.08 usesimpdemod = 5
% 0.44/1.08 usesimpres = 3
% 0.44/1.08
% 0.44/1.08 resimpinuse = 1000
% 0.44/1.08 resimpclauses = 20000
% 0.44/1.08 substype = eqrewr
% 0.44/1.08 backwardsubs = 1
% 0.44/1.08 selectoldest = 5
% 0.44/1.08
% 0.44/1.08 litorderings [0] = split
% 0.44/1.08 litorderings [1] = extend the termordering, first sorting on arguments
% 0.44/1.08
% 0.44/1.08 termordering = kbo
% 0.44/1.08
% 0.44/1.08 litapriori = 0
% 0.44/1.08 termapriori = 1
% 0.44/1.08 litaposteriori = 0
% 0.44/1.08 termaposteriori = 0
% 0.44/1.08 demodaposteriori = 0
% 0.44/1.08 ordereqreflfact = 0
% 0.44/1.08
% 0.44/1.08 litselect = negord
% 0.44/1.08
% 0.44/1.08 maxweight = 15
% 0.44/1.08 maxdepth = 30000
% 0.44/1.08 maxlength = 115
% 0.44/1.08 maxnrvars = 195
% 0.44/1.08 excuselevel = 1
% 0.44/1.08 increasemaxweight = 1
% 0.44/1.08
% 0.44/1.08 maxselected = 10000000
% 0.44/1.08 maxnrclauses = 10000000
% 0.44/1.08
% 0.44/1.08 showgenerated = 0
% 0.44/1.08 showkept = 0
% 0.44/1.08 showselected = 0
% 0.44/1.08 showdeleted = 0
% 0.44/1.08 showresimp = 1
% 0.44/1.08 showstatus = 2000
% 0.44/1.08
% 0.44/1.08 prologoutput = 1
% 0.44/1.08 nrgoals = 5000000
% 0.44/1.08 totalproof = 1
% 0.44/1.08
% 0.44/1.08 Symbols occurring in the translation:
% 0.44/1.08
% 0.44/1.08 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.44/1.08 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.44/1.08 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 0.44/1.08 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.44/1.08 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.44/1.08 add [41, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.44/1.08 negate [43, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.44/1.08 a [44, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.44/1.08 b [45, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.44/1.08 c [46, 0] (w:1, o:14, a:1, s:1, b:0).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 Starting Search:
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 Bliksems!, er is een bewijs:
% 0.44/1.08 % SZS status Unsatisfiable
% 0.44/1.08 % SZS output start Refutation
% 0.44/1.08
% 0.44/1.08 clause( 0, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.44/1.08 .
% 0.44/1.08 clause( 2, [ =( negate( add( negate( add( X, Y ) ), negate( add( X, negate(
% 0.44/1.08 Y ) ) ) ) ), X ) ] )
% 0.44/1.08 .
% 0.44/1.08 clause( 3, [ =( negate( add( a, b ) ), c ) ] )
% 0.44/1.08 .
% 0.44/1.08 clause( 4, [ ~( =( negate( add( c, negate( add( negate( b ), a ) ) ) ), a )
% 0.44/1.08 ) ] )
% 0.44/1.08 .
% 0.44/1.08 clause( 7, [ ~( =( negate( add( c, negate( add( a, negate( b ) ) ) ) ), a )
% 0.44/1.08 ) ] )
% 0.44/1.08 .
% 0.44/1.08 clause( 30, [] )
% 0.44/1.08 .
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 % SZS output end Refutation
% 0.44/1.08 found a proof!
% 0.44/1.08
% 0.44/1.08 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.44/1.08
% 0.44/1.08 initialclauses(
% 0.44/1.08 [ clause( 32, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.44/1.08 , clause( 33, [ =( add( add( X, Y ), Z ), add( X, add( Y, Z ) ) ) ] )
% 0.44/1.08 , clause( 34, [ =( negate( add( negate( add( X, Y ) ), negate( add( X,
% 0.44/1.08 negate( Y ) ) ) ) ), X ) ] )
% 0.44/1.08 , clause( 35, [ =( negate( add( a, b ) ), c ) ] )
% 0.44/1.08 , clause( 36, [ ~( =( negate( add( c, negate( add( negate( b ), a ) ) ) ),
% 0.44/1.08 a ) ) ] )
% 0.44/1.08 ] ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 subsumption(
% 0.44/1.08 clause( 0, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.44/1.08 , clause( 32, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.44/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.44/1.08 )] ) ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 subsumption(
% 0.44/1.08 clause( 2, [ =( negate( add( negate( add( X, Y ) ), negate( add( X, negate(
% 0.44/1.08 Y ) ) ) ) ), X ) ] )
% 0.44/1.08 , clause( 34, [ =( negate( add( negate( add( X, Y ) ), negate( add( X,
% 0.44/1.08 negate( Y ) ) ) ) ), X ) ] )
% 0.44/1.08 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.44/1.08 )] ) ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 subsumption(
% 0.44/1.08 clause( 3, [ =( negate( add( a, b ) ), c ) ] )
% 0.44/1.08 , clause( 35, [ =( negate( add( a, b ) ), c ) ] )
% 0.44/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 subsumption(
% 0.44/1.08 clause( 4, [ ~( =( negate( add( c, negate( add( negate( b ), a ) ) ) ), a )
% 0.44/1.08 ) ] )
% 0.44/1.08 , clause( 36, [ ~( =( negate( add( c, negate( add( negate( b ), a ) ) ) ),
% 0.44/1.08 a ) ) ] )
% 0.44/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 46, [ ~( =( a, negate( add( c, negate( add( negate( b ), a ) ) ) )
% 0.44/1.08 ) ) ] )
% 0.44/1.08 , clause( 4, [ ~( =( negate( add( c, negate( add( negate( b ), a ) ) ) ), a
% 0.44/1.08 ) ) ] )
% 0.44/1.08 , 0, substitution( 0, [] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 paramod(
% 0.44/1.08 clause( 48, [ ~( =( a, negate( add( c, negate( add( a, negate( b ) ) ) ) )
% 0.44/1.08 ) ) ] )
% 0.44/1.08 , clause( 0, [ =( add( X, Y ), add( Y, X ) ) ] )
% 0.44/1.08 , 0, clause( 46, [ ~( =( a, negate( add( c, negate( add( negate( b ), a ) )
% 0.44/1.08 ) ) ) ) ] )
% 0.44/1.08 , 0, 7, substitution( 0, [ :=( X, negate( b ) ), :=( Y, a )] ),
% 0.44/1.08 substitution( 1, [] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 54, [ ~( =( negate( add( c, negate( add( a, negate( b ) ) ) ) ), a
% 0.44/1.08 ) ) ] )
% 0.44/1.08 , clause( 48, [ ~( =( a, negate( add( c, negate( add( a, negate( b ) ) ) )
% 0.44/1.08 ) ) ) ] )
% 0.44/1.08 , 0, substitution( 0, [] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 subsumption(
% 0.44/1.08 clause( 7, [ ~( =( negate( add( c, negate( add( a, negate( b ) ) ) ) ), a )
% 0.44/1.08 ) ] )
% 0.44/1.08 , clause( 54, [ ~( =( negate( add( c, negate( add( a, negate( b ) ) ) ) ),
% 0.44/1.08 a ) ) ] )
% 0.44/1.08 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 56, [ =( X, negate( add( negate( add( X, Y ) ), negate( add( X,
% 0.44/1.08 negate( Y ) ) ) ) ) ) ] )
% 0.44/1.08 , clause( 2, [ =( negate( add( negate( add( X, Y ) ), negate( add( X,
% 0.44/1.08 negate( Y ) ) ) ) ), X ) ] )
% 0.44/1.08 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 eqswap(
% 0.44/1.08 clause( 57, [ ~( =( a, negate( add( c, negate( add( a, negate( b ) ) ) ) )
% 0.44/1.08 ) ) ] )
% 0.44/1.08 , clause( 7, [ ~( =( negate( add( c, negate( add( a, negate( b ) ) ) ) ), a
% 0.44/1.08 ) ) ] )
% 0.44/1.08 , 0, substitution( 0, [] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 paramod(
% 0.44/1.08 clause( 58, [ =( a, negate( add( c, negate( add( a, negate( b ) ) ) ) ) ) ]
% 0.44/1.08 )
% 0.44/1.08 , clause( 3, [ =( negate( add( a, b ) ), c ) ] )
% 0.44/1.08 , 0, clause( 56, [ =( X, negate( add( negate( add( X, Y ) ), negate( add( X
% 0.44/1.08 , negate( Y ) ) ) ) ) ) ] )
% 0.44/1.08 , 0, 4, substitution( 0, [] ), substitution( 1, [ :=( X, a ), :=( Y, b )] )
% 0.44/1.08 ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 resolution(
% 0.44/1.08 clause( 60, [] )
% 0.44/1.08 , clause( 57, [ ~( =( a, negate( add( c, negate( add( a, negate( b ) ) ) )
% 0.44/1.08 ) ) ) ] )
% 0.44/1.08 , 0, clause( 58, [ =( a, negate( add( c, negate( add( a, negate( b ) ) ) )
% 0.44/1.08 ) ) ] )
% 0.44/1.08 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 subsumption(
% 0.44/1.08 clause( 30, [] )
% 0.44/1.08 , clause( 60, [] )
% 0.44/1.08 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 end.
% 0.44/1.08
% 0.44/1.08 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.44/1.08
% 0.44/1.08 Memory use:
% 0.44/1.08
% 0.44/1.08 space for terms: 513
% 0.44/1.08 space for clauses: 3185
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 clauses generated: 161
% 0.44/1.08 clauses kept: 31
% 0.44/1.08 clauses selected: 11
% 0.44/1.08 clauses deleted: 0
% 0.44/1.08 clauses inuse deleted: 0
% 0.44/1.08
% 0.44/1.08 subsentry: 215
% 0.44/1.08 literals s-matched: 129
% 0.44/1.08 literals matched: 129
% 0.44/1.08 full subsumption: 0
% 0.44/1.08
% 0.44/1.08 checksum: -809000389
% 0.44/1.08
% 0.44/1.08
% 0.44/1.08 Bliksem ended
%------------------------------------------------------------------------------